A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must have a volume of 4000 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimensions that will minimize the cost. (Round your answers to three decimal places.) radius height 13.795 Need Help? Suban View Previous Question Question 3 of 20 View Next Question MY NOTES FALVIUUS ANSWERS LARCALC113.7.502.XP.MI. ASK YOUR TEACHER On a given day, the flow rate F(in cars per hour) on a congested roadway is given by the equation below, where v is the speed of traffic in miles per hour. F 28 + 0.0512 What speed will maximize the flow rate on the road? (Round your answer to one decimal place.) 22.8 X mi/h Need Help? Read Talk to a Tutor A wooden beam has a rectangular cross section of heighth and width w (see figure on the next page). The strength of the beam is directly proportional to the width and the square of the height. What are the dimensions of the strongest beam that can be cut from a round log of diameter 20 inches? (Hint: Skhw, where is the proportionality constant.) 206 w= 3 h 20 3 A man is in a boat 2 miles from the nearest point on the coast. He is to go to point , located 3 miles down the coast and 1 mile inland (see figure), He can row at a rate of 4 miles per hour and walk at 4 miles per hour. Toward what point on the coast should he row in order to reach point in the last time? (Round your answer to two decimal places.) 28.57 x mile(s) down the coast Need Help? Read Wash